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Finding the Fourth Proportional to 209,292.19, 313,938.30 and 61,548.19

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Solution

The fourth proportional to 209,292.19, 313,938.30 and 61,548.19 is: 92,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,292.19 : 313,938.30 = 61,548.19 : x
  2. Step 2: Convert to fraction form
    209,292.19/313,938.30 = 61,548.19/x
  3. Step 3: Cross multiply
    209,292.19x = 313,938.30 × 61,548.19
  4. Step 4: Simplify right side
    209,292.19x = 19,322,333,236.43
  5. Step 5: Solve for x
    x = 19,322,333,236.43/209,292.19
  6. Step 6: Final answer
    x = 92,322.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.